cp's OEIS Frontend

A212124 Total number of states of the first n subshells of the nuclear shell model in which the subshells are ordered by energy level in increasing order.

%I A212124 #33 Sep 03 2012 07:13:21
%S A212124 2,6,8,14,16,20,28,32,38,40,50,58,64,68,70,82,92,100,106,110,112,126,
%T A212124 136,142,154,162,164,168,184
%N A212124 Total number of states of the first n subshells of the nuclear shell model in which the subshells are ordered by energy level in increasing order.
%C A212124 First differs from A213364 at a(12).
%D A212124 M. Goeppert Mayer and J. Hans D. Jensen, Elementary Theory of Nuclear Shell Structure, J. Wiley and Sons, Inc. (1955).
%H A212124 Library of Halexandria, <a href="http://www.halexandria.org/dward472.htm">Nuclear shell model</a>, Table 1.
%F A212124 a(n) = 2*A212123(n).
%e A212124 Example 1: written as a triangle in which apparently row i is related to the (i-1)st level of nucleus. Triangle begins:
%e A212124 2;
%e A212124 6,     8;
%e A212124 14,   16,  20;
%e A212124 28,   32,  38,  40;
%e A212124 50,   58,  64,  68,  70;
%e A212124 82,   92, 100, 106, 110, 112;
%e A212124 126, 136, 142, 154, 162, 164, 168;
%e A212124 ...
%e A212124 Example 2: written as an irregular triangle in which row j is related to the j-th shell of nucleus. In this case note that row 4 has only one term. Triangle begins:
%e A212124 2;
%e A212124 6,     8;
%e A212124 14,   16,  20;
%e A212124 28,
%e A212124 32,   38,  40,  50;
%e A212124 58,   64,  68,  70,  82;
%e A212124 92,  100, 106, 110, 112, 126;
%e A212124 136, 142, 154, 162, 164, 168, 184;
%e A212124 ...
%e A212124 First seven terms of right border give the "magic numbers" A018226.
%Y A212124 Partial sums of A212122. Other versions are A210984, A212014, A213364, A213374.
%Y A212124 Cf. A007290, A018226, A033547, A210842, A212121, A212123.
%K A212124 nonn,tabf,hard,more
%O A212124 1,1
%A A212124 _Omar E. Pol_, Jun 03 2012